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45883764342 = 232137125111003
BaseRepresentation
bin101010101110111000…
…101010111001110110
311101102201101201211100
4222232320222321312
51222432220424332
633025000150530
73213020363463
oct525670527166
9141381351740
1045883764342
11185062092a9
128a86468446
134433041920
142313ba066a
1512d830e67c
hexaaee2ae76

45883764342 has 96 divisors (see below), whose sum is σ = 109012490496. Its totient is φ = 13862520000.

The previous prime is 45883764331. The next prime is 45883764379. The reversal of 45883764342 is 24346738854.

45883764342 is a `hidden beast` number, since 458 + 83 + 76 + 4 + 3 + 42 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4164613 + ... + 4175615.

It is an arithmetic number, because the mean of its divisors is an integer number (1135546776).

Almost surely, 245883764342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45883764342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54506245248).

45883764342 is an abundant number, since it is smaller than the sum of its proper divisors (63128726154).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

45883764342 is a wasteful number, since it uses less digits than its factorization.

45883764342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11346 (or 11343 counting only the distinct ones).

The product of its digits is 15482880, while the sum is 54.

The spelling of 45883764342 in words is "forty-five billion, eight hundred eighty-three million, seven hundred sixty-four thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 71 78 117 142 213 234 251 426 502 639 753 923 1278 1506 1846 2259 2769 3263 4518 5538 6526 8307 9789 11003 16614 17821 19578 22006 29367 33009 35642 53463 58734 66018 99027 106926 143039 160389 198054 231673 286078 320778 429117 463346 695019 781213 858234 1287351 1390038 1562426 2085057 2343639 2574702 2761753 4170114 4687278 5523506 7030917 8285259 10155769 14061834 16570518 20311538 24855777 30467307 35902789 49711554 60934614 71805578 91401921 107708367 182803842 196084463 215416734 323125101 392168926 588253389 646250202 1176506778 1764760167 2549098019 3529520334 5098196038 7647294057 15294588114 22941882171 45883764342